Question

Your pay varies directly with the number of hours you work. If you work 20 hours, your pay is $150. Write a direct variation equation relating this information.

A) y = 7.5x
B) y = 2/15x
C) 150 = 20k
D) 150 = 7.5(20)

Answer 1

To write a direct variation equation relating the given information, we can use the formula y = kx, where y is the pay, x is the number of hours worked, and k is the constant of variation. By substituting the given values into the equation and solving, we find that the direct variation equation is y = 7.5x.

Step-by-step explanation:

The given problem states that your pay varies directly with the number of hours you work. If you work 20 hours, your pay is $150. To write a direct variation equation relating this information, you can use the formula y = kx, where y is the pay, x is the number of hours worked, and k is the constant of variation.

We can substitute the given values from the problem into the equation: 150 = k(20).

By dividing both sides of the equation by 20, we can solve for k: k = 150/20 = 7.5.

Therefore, the direct variation equation relating the given information is y = 7.5x.